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Lesson 4 Homework Practice Key

The document is a student worksheet containing math problems about changes in dimension and area. It contains 4 problems describing changes in perimeter and area when figures are enlarged. Problem 1 compares Figures A and B where the perimeter doubles. Problem 2 finds the area quadruples between the figures. Problem 3 sees the perimeter increase 5 times between Figures C and D. Problem 4 shows the area multiplying 25 times between the figures. The final problem asks the area of a large photograph if small photos have an area of 24 sq in and large photos are twice the size.

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719 views1 page

Lesson 4 Homework Practice Key

The document is a student worksheet containing math problems about changes in dimension and area. It contains 4 problems describing changes in perimeter and area when figures are enlarged. Problem 1 compares Figures A and B where the perimeter doubles. Problem 2 finds the area quadruples between the figures. Problem 3 sees the perimeter increase 5 times between Figures C and D. Problem 4 shows the area multiplying 25 times between the figures. The final problem asks the area of a large photograph if small photos have an area of 24 sq in and large photos are twice the size.

Uploaded by

5yrzvhrxzv
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Homework Practice


Changes in Dimension
Refer to the figures at the right for Exercises 1−4.
Justify your answers.
1. Describe the change in the perimeter Figure A
from Figure A to Figure B. 6 in.

The perimeter is multiplied by 2. 5 in. 4 in. 5 in.


The perimeter of the original figure
is 28 in. and the perimeter of the new 12 in.

figure is 56 in.; 56 in. ÷ 28 in. = 2.

2. Describe the change in the area


from Figure A to Figure B.
The area is multiplied by 4. The area
of the original figure is 36 in2 and the
area of the new figure is 144 in2;
144 in2 ÷ 36 in2 = 4.

3. Describe the change in the perimeter Figure C


from Figure C to Figure D.
The perimeter is multiplied by 5. 7m 8m
6m
The perimeter of the original figure
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

is 24 m and the perimeter of the 9m


new figure is 120 m; 120 m ÷ 24 m = 5.

4. Describe the change in the area Figure D


from Figure C to Figure D.
The area is multiplied by 25. The area 35 m 40 m
30 m
of the original figure is 27 m2 and the
area of the new figure is 675 m2;
45 m
675 m2 ÷ 27 cm2 = 25.

5. A photo album contains small and large photographs. Each large photograph has side
lengths that are twice the side lengths of each small photograph. The area of each
small photograph is 24 square inches. What is the area of each large photograph?
Explain.
96 sq in.; Sample answer: The original area is multiplied by
22 or 4.

Course 1 • Chapter 9 Area 139

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